[tex]\boxed{\sf{Sudut\:pusat=2\times{Sudut\:keliling}}}[/tex]
[tex]\boxed{\sf{Sudut\:keliling=\frac{1}{2} \times{Sudut\:pusat}}}[/tex]
1. Sudut pusat = 2 × Sudut keliling
a = 2 × 34°
a = 68°
2. Sudut keliling = 1/2 × Sudut pusat
b = 1/2 × 160°
b = 80°
3. ΔOPQ segitiga sama kaki, jumlah sudut segitiga 180°.
∠POQ + ∠OPQ + ∠OQP = 180°
∠POQ + (2 × ∠OQP) = 180°
∠POQ + (2 × 42°) = 180°
∠POQ = 180° - 84°
∠POQ = 96°
Sudut keliling = 1/2 × Sudut pusat
∠PCQ = 1/2 × ∠POQ
c = 1/2 × 96°
c = 48°
4. Sudut keliling = 1/2 × Sudut pusat
d = 1/2 × 158°
d = 79°
[tex]\boxed{\sf{shf}}[/tex]
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Sudut Pusat & Sudut Keliling
[tex]\boxed{\sf{Sudut\:pusat=2\times{Sudut\:keliling}}}[/tex]
[tex]\boxed{\sf{Sudut\:keliling=\frac{1}{2} \times{Sudut\:pusat}}}[/tex]
Penyelesaian
1. Sudut pusat = 2 × Sudut keliling
a = 2 × 34°
a = 68°
2. Sudut keliling = 1/2 × Sudut pusat
b = 1/2 × 160°
b = 80°
3. ΔOPQ segitiga sama kaki, jumlah sudut segitiga 180°.
∠POQ + ∠OPQ + ∠OQP = 180°
∠POQ + (2 × ∠OQP) = 180°
∠POQ + (2 × 42°) = 180°
∠POQ = 180° - 84°
∠POQ = 96°
Sudut keliling = 1/2 × Sudut pusat
∠PCQ = 1/2 × ∠POQ
c = 1/2 × 96°
c = 48°
4. Sudut keliling = 1/2 × Sudut pusat
d = 1/2 × 158°
d = 79°
[tex]\boxed{\sf{shf}}[/tex]